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Quantum backreaction of massive fields and self-consistent semiclassical extreme black holes and acceleration horizons

J. Matyjasek·O. B. Zaslavskii
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Abstract

We consider the effect of backreaction of quantized massive fields on the metric of extreme black holes (EBH). We find the analytical approximate expression for the stress-energy tensor for a scalar (with an arbitrary coupling), spinor and vector fields near an event horizon. We show that, independent of a concrete type of EBH, the energy measured by a freely falling observer is finite on the horizon, so that quantum backreaction is consistent with the existence of EBH. For the Reissner-Nordstrom EBH with a total mass M_{tot} and charge Q we show that for all cases of physical interest M_{tot}< Q. We also discuss different types of quantum-corrected Bertotti-Robinson spacetimes, find for them exact self-consistent solutions and consider situations in which tiny quantum corrections lead to the qualitative change of the classical geometry and topology. In all cases one should start not from a classical background with further adding quantum corrections but from the quantum-corrected self-consistent geometries from the very beginning.

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J. Matyjasek, O. B. Zaslavskii. 2001-08-21. Quantum backreaction of massive fields and self-consistent semiclassical extreme black holes and acceleration horizons. https://doi.org/10.1103/physrevd.64.104018

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